(CBS/AP)-- Lawmakers in Illinois are proposing a new law that would allow undocumented immigrants to get state driver's licenses.

If passed, Illinois would become the third state in the U.S. to grant driver's licenses to undocumented immigrants -- a move top officials from both parties are pushing as a way to make roads safer and one that could have political implications for lawmakers seeking to court Hispanic voters.

Illinois Senate President John Cullerton said Tuesday that he believes he has the votes to get the measure through his chamber next week. Gov. Pat Quinn said he will sign it if it passes the House and makes it to his desk.

New Mexico and Washington are the only states in the U.S. to give driver's licenses to undocumented immigrants.

Quinn and Cullerton, both Democrats, were joined at a news conference by several key Illinois officials, including former Gov. Jim Edgar and Comptroller Judy Baar Topinka, both Republicans, and Chicago Mayor Rahm Emanuel, a fellow Democrat. All predicted bipartisan support.

The turnout showed the growing importance of Latinos and other immigrant groups. The bloc is credited with helping Democrats win big in Illinois and across the country on Election Day, and several top Republicans have said the GOP needs to change a perception their party is anti-immigrant if it is going to pick up seats in the next election.

According to the Chicago Sun-Times, no legislation has been written yet. What is known is that the license would not be the same one given to legal Illinois residents. Talks about the new licenses revolve around an expansion of the temporary licenses for foreign visitors program run by the Illinois Secretary of State. That plan allows undocumented immigrants with proof of residency and a passport to get a three-year license that allows them to drive but is not a valid form of ID. They have to pass, written and road tests, as well as obtain auto insurance.

Supporters of the measure say Illinois has about 250,000 undocumented immigrant motorists who can't get a driver's license or insurance. Allowing undocumented immigrants to obtain a license would mean more of those drivers would have to pass road and written driving tests and vision tests, supporters say. Also, uninsured, unlicensed immigrant drivers are responsible for $64 million in insurance claims each year -- costs that are picked up by people with insurance.

"By passing this legislation, this is going to incredibly benefit all of us," Cullerton said.

Quinn called the bill "the continuation of a movement" to support immigrants in Illinois that also has included passing the DREAM Act, which made college more affordable for undocumented immigrants.

CBS station WBBM in Chicago reported that the notion of allowing undocumented immigrants to get a legal driver's license has been going around for 14 years, but for the first eight years, the proposal never made it out of committee.

Democrats proposed a similar bill in 2007 that passed the House but didn't get to a vote in the Senate. Although Democrats control the House and the Senate in Illinois, they don't all always vote together and measures generally need some GOP support to get through the General Assembly.

Edgar said he has been talking with Republican lawmakers, and he expects more of them to support the legislation this time around.

"I think Republicans now realize we need to change our image if we want to be a successful and a viable party in America," Edgar said. "It's important that we show these immigrants that we appreciate them being here, we appreciate what they contribute to our society and that we want to make it easier to contribute."

Lawrence Benito, chief executive officer for the Illinois Coalition for Immigrant and Refugee Rights, said he believes the Nov. 6 election was a factor in the decision to introduce the bill next week, though it's "first and foremost" about safety.

"We're doing this for good public policy reasons. If there are good political reasons as well, that's great," Benito said.

Republican leaders of the House and Senate were notably absent from Tuesday's news conference.

However, Senate Republican Leader Christine Radogno said that was because she had a scheduling conflict. She said she supported the 2007 measure but wanted to wait to see the new proposal before backing it.

Vicki Crawford, spokeswoman for House Minority Leader Tom Cross, said she had not yet spoken with Cross about the bill.

Benito said supporters will be talking to Cross once the final bill is drafted.

The General Assembly will meet Tuesday for the start of the postelection veto session. The session concludes Jan. 9.

Online Public Information File

Viewers with disabilities can get assistance accessing this station's FCC Public Inspection File by contacting the station with the information listed below. Questions or concerns relating to the accessibility of the FCC's online public file system should be directed to the FCC at 888-225-5322, 888-835-5322 (TTY), or fccinfo@fcc.gov.